Utilize este identificador para referenciar este registo: http://hdl.handle.net/10400.21/5009
Título: Node adaptation for global collocation with radial basis functions using direct multisearch for multiobjective optimization
Autor: Roque, C. M. C.
Madeira, José Firmino Aguilar
Ferreira, A. J. M.
Palavras-chave: Meshless Method
Radial Basis Functions
Multiobjective Optimization
Direct-Search Methods
Pareto Dominance
Data: Fev-2014
Editora: Elsevier Science BV
Citação: ROQUE, C. M. C.; MADEIRA, José Firmino Aguilar; FERREIRA, A. J. M. – Node adaptation for global collocation with radial basis functions using direct multisearch for multiobjective optimization. Engineering Analysis with Boundary Elements. ISSN: 0955-7997. Vol. 39 (2014), pp. 5-14
Resumo: Meshless methods are used for their capability of producing excellent solutions without requiring a mesh, avoiding mesh related problems encountered in other numerical methods, such as finite elements. However, node placement is still an open question, specially in strong form collocation meshless methods. The number of used nodes can have a big influence on matrix size and therefore produce ill-conditioned matrices. In order to optimize node position and number, a direct multisearch technique for multiobjective optimization is used to optimize node distribution in the global collocation method using radial basis functions. The optimization method is applied to the bending of isotropic simply supported plates. Using as a starting condition a uniformly distributed grid, results show that the method is capable of reducing the number of nodes in the grid without compromising the accuracy of the solution. (C) 2013 Elsevier Ltd. All rights reserved.
Peer review: yes
URI: http://hdl.handle.net/10400.21/5009
DOI: 10.1016/j.enganabound.2013.10.012
ISSN: 0955-7997
Versão do Editor: http://www.sciencedirect.com/science/article/pii/S0955799713002130#
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